2.9 The Derivative as a Function

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2.9 The Derivative as a Function
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Differentiation Operators
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• f is differentiable at a if f ?(a) exists.
• If f is differentiable at a, then f is continuous
  at a. (NOT vice versa)

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• f is NOT differentiable at a.

1) At a corner
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• f is NOT differentiable at a.

2) At a discontinuity
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• f is NOT differentiable at a.

3) Vertical Tangent Line
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Sketch the graph of f?
Ex pg. 172 32 a c
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Ex Use your calc to graph f (x), then sketch
the graph of f (x)
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HW 2.9 pg. 171 1, 2, 4, 5 13, 19, 23, 31a, 33,
34, 41, 44